Respuesta :

Answer:

412.1kJ

Explanation:

For the reaction , from the question -

4Fe (s)  +  3O₂ (g)  → 2Fe₂O₃ (s)

Δ Hrxn = Δ H°f (products) - Δ H°f (reactants)

In case the compound is in its standard state , enthalphy of formation is zero

Hence ,

for the above reaction ,

ΔHrxn =( 2 * Δ H° (Fe₂O₃ )) - [ ( 4 *Δ H° Fe ) + (3 * Δ H° O₂ )]

The value for Δ H°(Fe₂O₃ ) = - 824.2kJ/mol

Δ H° Fe = 0

Δ H° O₂ = 0

Putting in the above equation ,

ΔH rxn = ( 2 * Δ H° (Fe₂O₃ ))  - 0

ΔHrxn =  2× - 824.2 kJ / mol = - 1648.4 kJ/mol

- 1648.4 kJ/mol  , this much heat is released by the buring of 4 mol of Fe.

Hence ,

for 1 mol of Fe ,

- 1648.4 kJ/mol  / 4 = 412.1kJ

412.1 kilojoules of heat will be released when exactly 1 mole of iron, Fe, is burned to form Fe₂O₃ at standard state condition.

How we calculate the heat released during a chemical reaction?

This heat enthalpy of a reaction can be calculated as follow:
ΔH = ΔHₙ - ΔHₓ, where

ΔHₙ = change in enthalpy of reactants

ΔHₓ = change in enthalpy of products

Given reaction can be represented as:

4Fe + 3O₂ → 2Fe₂O₃

From the above expression it is clear that 4 mole of Fe is burned to form 2 mole of Fe₂O₃.

In the standard condition, heat of formation of pure solid elements is zero. i.e. heat of formation of iron and oxygen = 0.

Heat of formation of Fe₂O₃ at standard state = -824.2 kJ/mol.

Now putting all these values in the above equation, we get

ΔH = 2 × (-824.2) - 0 = -1648.4 kJ/mol

So, 4 mole of Fe released = -1648.4 kJ/mol amount of heat to form Fe₂O₃

1 mole of Fe released = -1648.4/4 kJ/mol amount of heat to form Fe₂O₃

Hence, 412.1 kJ/mol amount of heat to form Fe₂O₃.

To know more about heat released or enthalpy, visit below link:

https://brainly.com/question/14047927